SOLUTION: The age of a man is the same as his wife's age with the digits reversed. If the sum of their ages is 99, and the man is 9 years older than his wife, how old is he? Using the four s
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Question 942857: The age of a man is the same as his wife's age with the digits reversed. If the sum of their ages is 99, and the man is 9 years older than his wife, how old is he? Using the four step problem solving process
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = age of man
y = age of wife tens digit
z = age of wife ones digit
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x = 10z + y
x + 10y + z = 99
x = 10y + z + 9
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put the system of linear equations into standard form
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x - y - 10z = 0
x + 10y + z = 99
x - 10y - z = 9
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = age of man = 54
y = 4
z = 5
age of wife = 45
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